Q1. If the polynomial x^3 - 4x^2 + kx + 6 is exactly divisible by x - 2, find the value of k.
यदि बहुपद x^3 - 4x^2 + kx + 6, x - 2 से पूर्णतः विभाजित है, तो k का मान ज्ञात कीजिए।
SSC CGL Tough Mathematics Practice Set 3 – 25 Questions , 15 mins
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Sample Questions from SSC CGL Tough Mathematics Practice Set 3 – 25 Questions , 15 mins
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Q2. Two pipes can fill a tank in 18 minutes and 24 minutes respectively. A leak can empty the full tank in 72 minutes. If both pipes and the leak are opened together, in how many minutes will the tank be filled?
दो पाइप किसी टंकी को क्रमशः 18 मिनट और 24 मिनट में भर सकते हैं। एक रिसाव पूरी भरी टंकी को 72 मिनट में खाली कर सकता है। यदि दोनों पाइप और रिसाव एक साथ खोल दिए जाएँ, तो टंकी कितने मिनट में भरेगी?
Q3. Rice costing ₹32 per kg is mixed with rice costing ₹44 per kg. The mixture is sold at ₹46.20 per kg at a profit of 10%. In what ratio are the two varieties mixed?
₹32 प्रति किग्रा वाले चावल को ₹44 प्रति किग्रा वाले चावल के साथ मिलाया जाता है। मिश्रण को ₹46.20 प्रति किग्रा की दर से 10% लाभ पर बेचा जाता है। दोनों प्रकार के चावल किस अनुपात में मिलाए गए हैं?
Q4. In a 1000 m race, A beats B by 100 m and B beats C by 100 m. By how many metres will A beat C in a 1000 m race?
1000 मीटर की दौड़ में A, B को 100 मीटर से और B, C को 100 मीटर से हराता है। 1000 मीटर की दौड़ में A, C को कितने मीटर से हराएगा?
Q5. From an external point P, a tangent PT and a secant PAB are drawn to a circle. If PT = 12 cm and PA = 8 cm, find the whole length PB.
एक बाहरी बिंदु P से किसी वृत्त पर स्पर्शरेखा PT तथा छेदक PAB खींचे गए हैं। यदि PT = 12 सेमी और PA = 8 सेमी है, तो पूरी छेदक लंबाई PB ज्ञात कीजिए।
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